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Finding the Fourth Proportional to 56,905.38, 78,529.35 and 31,754.88

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Solution

The fourth proportional to 56,905.38, 78,529.35 and 31,754.88 is: 43,821.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,905.38 : 78,529.35 = 31,754.88 : x
  2. Step 2: Convert to fraction form
    56,905.38/78,529.35 = 31,754.88/x
  3. Step 3: Cross multiply
    56,905.38x = 78,529.35 × 31,754.88
  4. Step 4: Simplify right side
    56,905.38x = 2,493,690,085.73
  5. Step 5: Solve for x
    x = 2,493,690,085.73/56,905.38
  6. Step 6: Final answer
    x = 43,821.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.